References
[BR] Bers, L., Royden, H.: Holomorphic families of injections. Acta Math. 157, 259–286 (1986)
[Bi] Birman, J.: Braids, Links and Mapping Class Groups. Ann Math. Stud.82, Princeton, 1974
[BI] Blanchard, P.: Complex analytic dynamics on the Riemann sphere. Bull. AMS11, 85–141 (1984)
[DM] Doyle, P., McMullen, C.: Solving the quintic by iteration (In preparation)
[FLP] Fathi, A., Laudenbach, F., Poenaru, V.: Travaux de Thurston sur les Surfaces. Asterisque, Vol. 66–67 (1979)
[FS] Flexor, M., Sentenac, P.: Preprint, Orsay
[G] Gilman, J.: Structure of elliptic irreducible subgroups of the modular group. Proc. Lond. Math. Soc.47, 27–42 (1983)
[Ker] Kerckhoff, S.: The Nielsen realization problem. Ann. Math.117, 235–265 (1983)
[MSS] Mane, R., Sad, P., Sullivan, D.: On the dynamics of rational maps. Ann. Sci. Ec. Norm. Super.16, 193–217 (1983)
[Mc1] McMullen, C.: Families of rational maps and iterative root-finding algorithms. Ann. Math.125, 467–493 (1987)
[Mc2] McMullen, C.: Automorphisms of rational maps. (To appear, MSRI Geometric Function Theory Proceedings)
[SS] Shub, M., Smale, S.: On the existence of generally convergent algorithms. J. Complex.2, 2–11 (1986)
[Sm] Smale, S.: On the efficiency of algorithms of analysis. Bull. AMS13, 87–121 (1985)
[Sul1] Sullivan, D.: Conformal dynamical systems. In: Geometric Dynamics. (Lect. Notes Math., vol. 1007, pp. 725–752) Berlin Heidelberg New York: Springer 1983
[Sul2] Sullivan, D.: Quasiconformal homeomorphisms and dynamics III: Topological conjugacy classes of analytic endomorphisms (Preprint)
[ST] Sullivan, D., Thurston, W.: Extending holomorphic motions. Acta Math.157, 243–258 (1986)
[W] Whyburn, G.: Analytic Topology. AMS Coll. Publ.28, 1942
[Z] Zieschang, H.: Finite Groups of Mapping Classes of Surfaces. Lect. Notes Math. vol. 875. Berlin Heidelberg New York: Springer 1981
Author information
Authors and Affiliations
Additional information
Research partially supported by NSF Grant 8120790
Rights and permissions
About this article
Cite this article
McMullen, C. Braiding of the attractor and the failure of iterative algorithms. Invent Math 91, 259–272 (1988). https://doi.org/10.1007/BF01389368
Issue Date:
DOI: https://doi.org/10.1007/BF01389368